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Finding the Third Proportional to 1,832,272 and 2,853,107

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Solution

The third proportional to 1,832,272 and 2,853,107 is: 4,442,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,272 : 2,853,107 = 2,853,107 : x
  2. Step 2: Convert to fraction form
    1,832,272/2,853,107 = 2,853,107/x
  3. Step 3: Cross multiply
    1,832,272x = 2,853,107 × 2,853,107
  4. Step 4: Simplify right side
    1,832,272x = 8,140,219,553,449
  5. Step 5: Solve for x
    x = 8,140,219,553,449/1,832,272
  6. Step 6: Final answer
    x = 4,442,691.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.